Basic Math Examples

1000 (1 + {(\frac{0.02}{12})}^{12 (21)})

$1000 (1 + {(\frac{0.02}{12})}^{12 (21)})$

Step 1

Simplify each term.

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Step 1.1

Divide

0.02

$0.02$ by

12

$12$ .

1000 (1 + {0.001 ¯ 6}^{12 (21)})

$1000 (1 + {0.001\overline{6}}^{12 (21)})$

Step 1.2

Multiply

12

$12$ by

21

$21$ .

1000 (1 + {0.001 ¯ 6}^{252})

$1000 (1 + {0.001\overline{6}}^{252})$

1000 (1 + {0.001 ¯ 6}^{252})

$1000 (1 + {0.001\overline{6}}^{252})$

Step 2

Simplify by multiplying through.

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Step 2.1

Apply the distributive property.

1000 \cdot 1 + 1000 \cdot {0.001 ¯ 6}^{252}

$1000 \cdot 1 + 1000 \cdot {0.001\overline{6}}^{252}$

Step 2.2

Multiply

1000

$1000$ by

1

$1$ .

1000 + 1000 \cdot {0.001 ¯ 6}^{252}

$1000 + 1000 \cdot {0.001\overline{6}}^{252}$

1000 + 1000 \cdot {0.001 ¯ 6}^{252}

$1000 + 1000 \cdot {0.001\overline{6}}^{252}$

Step 3

The result can be shown in multiple forms.

Exact Form:

1000 + 1000 \cdot {0.001 ¯ 6}^{252}

$1000 + 1000 \cdot {0.001\overline{6}}^{252}$

Decimal Form:

1000

$1000$